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Finding the Fourth Proportional to 4,208.72, 6,315.96 and 2,018.96

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Solution

The fourth proportional to 4,208.72, 6,315.96 and 2,018.96 is: 3,029.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,208.72 : 6,315.96 = 2,018.96 : x
  2. Step 2: Convert to fraction form
    4,208.72/6,315.96 = 2,018.96/x
  3. Step 3: Cross multiply
    4,208.72x = 6,315.96 × 2,018.96
  4. Step 4: Simplify right side
    4,208.72x = 12,751,670.60
  5. Step 5: Solve for x
    x = 12,751,670.60/4,208.72
  6. Step 6: Final answer
    x = 3,029.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.